A New Mathematical Model for the Efficiency Calculation
Abstract
During the past sixty years, a lot of effort has been made regarding the productive efficiency. Such endeavours provided an extensive bibliography on this subject, culminating in two main methods, named the Stochastic Frontier Analysis (parametric) and Data Envelopment Analysis (non-parametric). The literature states this methodology also as the benchmark approach, since the techniques compare the sample upon a chosen `more-efficient' reference. This article intends to disrupt such premise, suggesting a mathematical model that relies on the optimal input combination, provided by a differential equation system instead of an observable sample. A numerical example is given, illustrating the application of our model's features.
Cite
@article{arxiv.1903.05516,
title = {A New Mathematical Model for the Efficiency Calculation},
author = {Anibal Galindro and Micael Santos and Delfim F. M. Torres and Ana Marta-Costa},
journal= {arXiv preprint arXiv:1903.05516},
year = {2019}
}
Comments
This is a preprint of a paper accepted for publication 11-March-2019 as a book chapter in 'Advances in Intelligent Systems and Computing' [https://www.springer.com/series/11156], Springer